Respuesta :

Answer:

4.33 in

Step-by-step explanation:

Taking the can to be cylindrical then its volume is given by

[tex]V=\frac {\pi h d^{2}}{4}[/tex]

Making d the subject then

[tex]d=\sqrt {\frac {4V}{\pi h}}[/tex]

Where V represent volume, d is the diameter and h is the height. Substituting 71.79 in³ for V and 4.87 in for h then

[tex]d=\sqrt {\frac {4*71.79}{\pi *4.87}}=4.33234022803439\approx 4.33[/tex]

Therefore, the diameter is approximately 4.33 inches